Question

The surface area of the rectangular pyramid is 146 square inches. The height of the rectangular prism is the same as the slant height of the pyramid. What is the surface area of the rectangular prism?

Answer 1

@dpaInc could you help??

Answer 2

since the lateral surface area of the pyrmid consists of 2 pairs of congruent triangular faces (4 triangles in all), we can find the slant height by solving this equation:
\(\large 146=\frac{1}{2}(6)(h) +\frac{1}{2}(6)(h)+\frac{1}{2}(7)(h)+\frac{1}{2}(7)(h) \)
\(\large 146=(6)(h)+(7)(h) \)
can you take it from here?

Answer 3

could you just do one more step?

Answer 4

@dpaInc